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Finding the Fourth Proportional to 137,585.84, 189,879.96 and 77,155.52

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Solution

The fourth proportional to 137,585.84, 189,879.96 and 77,155.52 is: 106,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,585.84 : 189,879.96 = 77,155.52 : x
  2. Step 2: Convert to fraction form
    137,585.84/189,879.96 = 77,155.52/x
  3. Step 3: Cross multiply
    137,585.84x = 189,879.96 × 77,155.52
  4. Step 4: Simplify right side
    137,585.84x = 14,650,287,051.38
  5. Step 5: Solve for x
    x = 14,650,287,051.38/137,585.84
  6. Step 6: Final answer
    x = 106,481.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.